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Homogenization in Random Flows

  • Conference paper
Advances in Turbulence VII

Part of the book series: Fluid Mechanics and Its Applications ((FMIA,volume 46))

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Abstract

The passive advection of a scalar quantity by a random velocity field is a problem encountered in a wide variety of situations like mass, charge and heat transport in turbulent fluids, dispersion in porous media, … Of particular interest is the long-time large-scale dynamics of the scalar. In this work we use a combination of multiscale and projection techniques for analyzing the advection of a scalar by a random velocity field whose ensemble-average is periodic in space. General expressions relating the scalar transport to the properties of the flow are obtained. The method is applied to the analysis of scalar advection in a turbulent flow generated by a lattice gas automaton and whose ensemble-average is a two-dimensional ABC type flow.

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References

  1. A. Bensoussan, J.-L. Lion and G. Papanicolaou, Asymptotic Analysis for Periodic Structures (North-Holland, Amsterdam, 1978).

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  4. J. P. Boon, E. Vanden Eijnden, and D. Hanon, “A lattice gas automaton approach to Turbulent Diffusion”, to be published in: Chaos, Solitons and Fractals (1998).

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Author information

Authors and Affiliations

  1. Département de Physique, CP 231, Université Libre de Bruxelles, B-1050, Bruxelles, Belgium

    E. Vanden Eijnden, D. Hanon & J. P. Boon

Authors
  1. E. Vanden Eijnden
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  2. D. Hanon
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  3. J. P. Boon
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Editor information

Editors and Affiliations

  1. Observatoire de la Côte d’Azur, Laboratoire G.D. Cassini (CNRS), Nice, France

    Uriel Frisch

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© 1998 Springer Science+Business Media Dordrecht

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Eijnden, E.V., Hanon, D., Boon, J.P. (1998). Homogenization in Random Flows. In: Frisch, U. (eds) Advances in Turbulence VII. Fluid Mechanics and Its Applications, vol 46. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-5118-4_45

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  • DOI: https://doi.org/10.1007/978-94-011-5118-4_45

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-6151-3

  • Online ISBN: 978-94-011-5118-4

  • eBook Packages: Springer Book Archive

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